My Soul Was Sent to Another World, and a Kindhearted Elf Took Me Home

(Fantasy, Western fantasy, Japanese-style fantasy, adventure, coming of age, System)

This story is a slow burn, and the protagonist's golden finger isn't particularly powerful in the early stages.

The soul of a man from Earth is accidentally stabbed and transmigrates to a world of swords and magic.

The good news: He has a golden finger, something calling itself the "Accelerated Learning System."

The bad news: The System has run out of power, and he's about to freeze to death in the snow.

Another piece of good news: A kindhearted elf takes him home.

"He is the four-element mage and Ice Mage whose name is passed from adventurer to adventurer, the youngest magic wielder at Star Engraving Academy.

He is the strongest disciple of the silver-haired mage Wei Ertemi Ge Lin, and a favored guest of Elena Endo, Grand Duchess of the Northern Frontier.

He is the perfecter of the magic system and the founder of magitech. Our most esteemed Emperor of Magic, Qiliou Ge Lin." - An Outline of Magic History, Prologue

The blurb doesn't do it justice. Read the story itself.